Counting spanning trees in the graphs of Kleitman and Golden and a generalization
โ Scribed by R. Vohra; L. Washington
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 302 KB
- Volume
- 318
- Category
- Article
- ISSN
- 0016-0032
No coin nor oath required. For personal study only.
โฆ Synopsis
A new calculation is given for the number of spanning trees in a family of labellec; graphs considered by Kleitman and Golden, and for a more general class of such graphs.
๐ SIMILAR VOLUMES
A rccenl theorem due to W'aller is applied to the mokculnr gmph of a typical conjugtcd system (naphthalene) in order to demonstrate the enumeration of spanning trees, on each of which a "ring current" calculation may be based.
Let 3:; denote the set of simple graphs with n vertices and m edges, t ( G ) the number of spanning trees of a graph G , and F 2 H if t(K,\E(F))?t(K,\E(H)) for every s? max{u(F), u ( H ) } . We give a complete characterization of >-maximal (maximum) graphs in 3:; subject to m 5 n . This result conta